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Finding the Fourth Proportional to 52,201.83, 72,034.20 and 29,539.65

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Solution

The fourth proportional to 52,201.83, 72,034.20 and 29,539.65 is: 40,762.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,201.83 : 72,034.20 = 29,539.65 : x
  2. Step 2: Convert to fraction form
    52,201.83/72,034.20 = 29,539.65/x
  3. Step 3: Cross multiply
    52,201.83x = 72,034.20 × 29,539.65
  4. Step 4: Simplify right side
    52,201.83x = 2,127,865,056.03
  5. Step 5: Solve for x
    x = 2,127,865,056.03/52,201.83
  6. Step 6: Final answer
    x = 40,762.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.